Circular Permutations
The number of ways in which 6 persons can be seated around a circular table is
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About This Question
- Subject
- mathematics
- Chapter
- permutations and combinations
- Topic
- circular permutations
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
120
- Core Concept: In a circular arrangement, rotations are considered identical. To break the symmetry, we fix one person's position.
- Formula: The number of circular permutations of n distinct objects is (n−1)!.
- Substitution: For n=6, Ways =(6−1)!=5!.
- Calculation:
- 5×4×3×2×1=120.
- Result: 120 ways.
This medium difficulty mathematics question is from the chapter permutations and combinations, covering the topic of circular permutations. It appeared in the 2025 exam.
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